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Finding the Third Proportional to 219,611.25 and 458,284.50

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Solution

The third proportional to 219,611.25 and 458,284.50 is: 956,347.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,611.25 : 458,284.50 = 458,284.50 : x
  2. Step 2: Convert to fraction form
    219,611.25/458,284.50 = 458,284.50/x
  3. Step 3: Cross multiply
    219,611.25x = 458,284.50 × 458,284.50
  4. Step 4: Simplify right side
    219,611.25x = 210,024,682,940.25
  5. Step 5: Solve for x
    x = 210,024,682,940.25/219,611.25
  6. Step 6: Final answer
    x = 956,347.56

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.